Least common denominator of the numbers in the list $\frac{51}{8},\frac{7}{3}$ is $24$. Convert numbers in the list to fractions with denominator $24$.
$$\frac{153}{24},\frac{56}{24}$$
To sort the list, start from a single element $\frac{153}{24}$.
$$\frac{153}{24}$$
Insert $\frac{56}{24}$ to the appropriate location in the new list.
$$\frac{56}{24},\frac{153}{24}$$
Replace the obtained fractions with the initial values.